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THE WEINSTEIN CONJECTURE ON C~1-SMOOTH HYPERSURFACE OF CONTACT TYPE
Authors:Lu Guangcun
Affiliation:Department of Mathematics, Beijing Normal University, Beijing 100875, China
Abstract:In this note a symplectic capacity of Hofer-Zehnder type that is only invariant under C1-symplectomorphisms is defined and all computation formulae for Hofer-Zehnder symplectic capacity obtained at present are proved still holding for it. As a consequence some results on Weinstein conjecture are generalized to C1-smooth hypersurface of contact type.
Keywords:Hofer-Zehnder symplectic capacity   Weinstein conjecture
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